# Let S = {v 1 , v 2 , .... , v k } be a basis for the subspace

## Question:

Let S = {v_{1 }, v_{2 }, .... , v_{k}} be a basis for the subspace W of R^{n}. Then a basis T for R^{n} that contains S can be found by applying the method of Example 5 to the vectors

v_{1 }, v_{2 }, ...... , v_{k }, e_{1 }, e _{2}, ...... , e_{n}.

Do this in Problems 17–20.

Find a basis T for R^{4} that contains the vectors v_{1} = (3 , 2 , 3 , 3) and v_{2} = (5 , 4 , 5 , 5).

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## Step by Step Answer:

**Related Book For**

## Differential Equations And Linear Algebra

**ISBN:** 9780134497181

4th Edition

**Authors:** C. Edwards, David Penney, David Calvis

**Question Details**

Chapter #

**4**Section: Problems 4.5

Problem: 20

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